On the problem \(Ax= \lambda Bx\) in max algebra: Every system of intervals is a spectrum (Q2882851)
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scientific article; zbMATH DE number 6031559
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the problem \(Ax= \lambda Bx\) in max algebra: Every system of intervals is a spectrum |
scientific article; zbMATH DE number 6031559 |
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8 May 2012
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max algebra
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generalized eigenproblem
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tropical algebra
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algorithm
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eigenvector
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math.RA
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On the problem \(Ax= \lambda Bx\) in max algebra: Every system of intervals is a spectrum (English)
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In max algebras, a very important problem is the eigenproblem. There exist efficient algorithms for computing both eigenvalues and eigenvectors. The present paper deals with the two-sided generalized eigenproblem over a max algebra which does not seem to be well-known unlike the eigenproblem. The spectrum may include intervals and it is proved that any finite system of real intervals can be represented as spectrum of this eigenproblem.
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